Cover for Band Theory of Metals

Band Theory of Metals

The Elements

Book1970

Authors:

SIMON L. ALTMANN

Band Theory of Metals

The Elements

Book1970

 

Cover for Band Theory of Metals

Authors:

SIMON L. ALTMANN

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Book description

Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle ... read full description

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  2. Book chapterNo access

    CHAPTER 1 - Revision of Quantum Mechanics

    Pages 1-36

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    CHAPTER 2 - Free-electron Theory of Metals

    Pages 37-61

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    CHAPTER 3 - The Effect of the Crystal Field in One Dimension: Bloch Functions

    Pages 62-127

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    CHAPTER 4 - Bloch Functions and Brillouin Zones in Three Dimensions

    Pages 128-199

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    CHAPTER 5 - Some Applications of Brillouin Zone Theory

    Pages 200-210

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    CHAPTER 6 - The Calculation of Band Structures and Fermi Surfaces

    Pages 211-243

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    General References

    Page 244

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    Index

    Pages 245-250

About the book

Description

Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle, normalization, stationary states, wave and group velocities, mean values, and variational method. The text takes a look at the free-electron theory of metals, including heat capacities, density of states, Fermi energy, core and metal electrons, and eigenfunctions in three dimensions. The book also reviews the effects of crystal fields in one dimension. The eigenfunctions of the translations; symmetry operations of the linear chain; use of translational symmetry; degeneracy of the Bloch functions; and effects of inversion are described. The text also focuses on Bloch functions and Brillouin zones in three dimensions. Concerns include symmetry in the reciprocal space; scalar product and reciprocal vectors; Brillouin zones of higher order; and conditions for the faces of the Brillouin zones. The book is a good source of data for readers interested in the band theory of solids.

Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle, normalization, stationary states, wave and group velocities, mean values, and variational method. The text takes a look at the free-electron theory of metals, including heat capacities, density of states, Fermi energy, core and metal electrons, and eigenfunctions in three dimensions. The book also reviews the effects of crystal fields in one dimension. The eigenfunctions of the translations; symmetry operations of the linear chain; use of translational symmetry; degeneracy of the Bloch functions; and effects of inversion are described. The text also focuses on Bloch functions and Brillouin zones in three dimensions. Concerns include symmetry in the reciprocal space; scalar product and reciprocal vectors; Brillouin zones of higher order; and conditions for the faces of the Brillouin zones. The book is a good source of data for readers interested in the band theory of solids.

Details

ISBN

978-0-08-015602-6

Language

English

Published

1970

Copyright

Copyright © 1970 Elsevier Ltd. All rights reserved.

Imprint

Pergamon

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Authors

SIMON L. ALTMANN

Lecturer in the Theory of Metals and Fellow of Brasenose College, University of Oxford